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Finding the Fourth Proportional to 13,782.98, 19,020.94 and 7,814.90

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Solution

The fourth proportional to 13,782.98, 19,020.94 and 7,814.90 is: 10,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.98 : 19,020.94 = 7,814.90 : x
  2. Step 2: Convert to fraction form
    13,782.98/19,020.94 = 7,814.90/x
  3. Step 3: Cross multiply
    13,782.98x = 19,020.94 × 7,814.90
  4. Step 4: Simplify right side
    13,782.98x = 148,646,744.01
  5. Step 5: Solve for x
    x = 148,646,744.01/13,782.98
  6. Step 6: Final answer
    x = 10,784.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.